Cycles in graphs with geometric property (T)
Functional Analysis
2022-03-14 v2 Combinatorics
Metric Geometry
Operator Algebras
Abstract
We show that a sequence of graphs with geometric property (T) has many small cycles. We also show that when a small part of a sequence of graphs with geometric property (T) is changed, it still has geometric property (T), provided that it is still an expander. We use this to give an example of a sequence of graphs with geometric property (T) that has large cycle-free balls.
Keywords
Cite
@article{arxiv.2203.01613,
title = {Cycles in graphs with geometric property (T)},
author = {Jeroen Winkel},
journal= {arXiv preprint arXiv:2203.01613},
year = {2022}
}
Comments
14 pages